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Finding the Third Proportional to 270,077 and 588,750

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Solution

The third proportional to 270,077 and 588,750 is: 1,283,436.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,077 : 588,750 = 588,750 : x
  2. Step 2: Convert to fraction form
    270,077/588,750 = 588,750/x
  3. Step 3: Cross multiply
    270,077x = 588,750 × 588,750
  4. Step 4: Simplify right side
    270,077x = 346,626,562,500
  5. Step 5: Solve for x
    x = 346,626,562,500/270,077
  6. Step 6: Final answer
    x = 1,283,436.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.